What is the 2425th prime number?
The 2425th prime number is 21599. The next prime is 21601 (a gap of 2) and the one before is 21589.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2425th one is 21599.
- 2
21599 is prime because no prime up to ā21599 ā 146.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2425th prime is close to 2425 Ć ln(2425) ā 18899, and here it is 21599.
- 4
21599 is a twin prime: 21599 and 21601 are both prime.
Primes around the 2425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2422 | 21577 | 8 |
| 2423 | 21587 | 10 |
| 2424 | 21589 | 2 |
| 2425 | 21599 | 10 |
| 2426 | 21601 | 2 |
| 2427 | 21611 | 10 |
| 2428 | 21613 | 2 |
Questions
What is the 2425th prime number?
21599.
Which prime number is 21599?
21599 is the 2425th prime number.
What is the sum of the first 2425 primes?
24,563,574.